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Finding the Fourth Proportional to 265,718.21, 398,509.28 and 78,685.97

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Solution

The fourth proportional to 265,718.21, 398,509.28 and 78,685.97 is: 118,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,718.21 : 398,509.28 = 78,685.97 : x
  2. Step 2: Convert to fraction form
    265,718.21/398,509.28 = 78,685.97/x
  3. Step 3: Cross multiply
    265,718.21x = 398,509.28 × 78,685.97
  4. Step 4: Simplify right side
    265,718.21x = 31,357,088,857.37
  5. Step 5: Solve for x
    x = 31,357,088,857.37/265,718.21
  6. Step 6: Final answer
    x = 118,008.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.